Bachelor's Programme Mathematics

Faculty	Faculty of Mathematics, Computer Science and Physics
Duration / ECTS-Credits	6 semesters / 180 ECTS-Credits
Academic Degree	Bachelor of Science (BSc)
Qualification Level	Bachelor (First Cycle) ISCED-11: Level 6, EQF/NQF: Level 6
ISCED-F	0541 Mathematics
Mode of Study	Full-Time
Study Code	UC 033 201
Curriculum	Information on the Curriculum (2007W) *
Language of Instruction	German
Admission Requirements	Secondary school completion certificate or equivalent and Language Certificates
PODCAST	http://streaming.uibk.ac.at/medien/c102/c1021067/Podcasts/Studienpodcasts /TechnMathe.mp3
Application

* Information on the Curriculum

The complete version of the curriculum reflects the currently valid version of the curriculum. It is for informational purposes only and is not legally binding. The legally binding version of the curriculum, including any amendments, may be found in the University of Innsbruck Bulletins.

In order to determine which version of the curriculum is applicable in your case, see the Catalogue of Studies,
available at: https://lfuonline.uibk.ac.at/public/lfuonline_meinestudien.studienblatt
Section: Current Curriculum version.

University of Innsbruck Bulletins » (Click to open all University of Innsbruck Bulletins)

English version of the Curriculum (from October 1^st 2019)
University of Innsbruck Bulletin March 4 2020, Issue 17, No. 260 (amendment of the curriculum)
University of Innsbruck Bulletin May 24 2019, Issue 49, No. 474 (modification of the curriculum)
English version of the Curriculum (from October 1^st 2016)
University of Innsbruck Bulletin March 15^th 2017, Issue 29, No. 339 (Equivalence list)
University of Innsbruck Bulletin May 2^nd 2016, Issue 24, No. 375 (modification of the curriculum)
English version of the Curriculum (from October 1^st 2014)
Curriculum/Consolidated version (from October 1^st 2014)
University of Innsbruck Bulletin June 13^th 2014, Issue 27, No. 476 (modification of the curriculum)
English version of the Curriculum
Curriculum/Consolidated version (from October 1^st 2011)
University of Innsbruck Bulletin June 16^th 2011, Issue 31, No. 484 (modification of the curriculum)
Curriculum/Consolidated version (from October 1^st 2010)
University of Innsbruck Bulletin June 23^rd 2010, Issue 42, No. 333 (modification of the curriculum)
University of Innsbruck Bulletin October 15^th 2008, Issue 2, No. 13 (amendment of the curriculum)
University of Innsbruck Bulletin April 23^rd 2007, Issue 32, No. 196

Studies Induction and Orientation Stage (STEOP)

Studies Induction and Orientation Stage (STEOP) starting winter term 2016 »

(1) Within the scope of the Studies Induction and Orientation Stage, which takes place in the first semester, the following course examinations must be passed:

1. VO Linear Algebra and Analytic Geometry 1 (CM 1 lit. a/3 hrs. /4.5 ECTS-Credits),
2. VO Analysis 1 (CM 2 lit. a/3 hrs. /4.5 ECTS-Credits).

(2) Successful passing of all exams of the Studies Induction and Orientation Stage entitles to passing all further courses and examinations as well as to writing the Bachelor's Thesis.

(3) Before successful completion of the Studies Induction and Orientation Stage courses amounting to 21 ECTS-Credits may be passed. The requirements specified in the curriculum must be met.

Studies Induction and Orientation Stage (STEOP) until december 2015 »

(1) The Studies Induction and Orientation Stage (STEOP), with a duration of one semester (30 ECTS-Credits), provides an overview of the study programme and its structure in order to give students an objective basis to assess their decision to pursue their chosen subjects.

(2) During the Studies Induction and Orientation Stage, the following course examinations, which may be repeated twice, must be completed satisfactorily:

Linear Algebra and Analytic Geometry, SL1, 2.5 ECTS-Credits, from Module 1
Analysis 1, SL1, 2.5 ECTS-Credits, from Module 2
Mathematics - Studies and Profession, VO1, 0.5 ECTS-Credits, from Module 4

(3) A positive result (passing grade) on the examinations specified in Paragraph 2 permits students to attend all courses and take all examinations following the Introduction and Orientation Phase for Students (STEOP) and to write a bachelor's thesis as described in the curriculum. The registration requirements specified by the curriculum must be met.

General Information

Recommended Course Sequence

The exemplary course sequence given below is recommended for full-time students beginning their study programme in the winter semester. The table shows one possible course sequence for the bachelor's programme and is not compulsory. Delays resulting from repeated examinations are not taken into account.

The standard duration of the study programme is 6 semesters or 180 ECTS-Credits, whereby according to the Universities Act of 2002, a workload of 1,500 (real) hours per academic year must be fulfilled, corresponding to 60 ECTS-Credits (one ECTS-Credit is equivalent to a workload of 25 hours).

Bridge Course Mathematics

The bridge course mathematics is recommended to first year students in the Bachelor's programmes Technical Mathematics and School Teacher Training Mathematics. The bridge course offers support for first year students to ease the transition from school to university.

First Semester »

10.0 ECTS-Credits: Linear Algebra and Analytic Geometry 1
10.0 ECTS-Credits: Analysis 1
5.0 ECTS-Credits: Practical Exercises
5.0 ECTS-Credits: Scientific working and Profession

Second Semester »

10.0 ECTS-Credits: Linear Algebra and Analytic Geometry 2
10.0 ECTS-Credits: Analysis 2
10.0 ECTS-Credits: Stochastics 1

Third Semester »

7.5 ECTS-Credits: Algebra 1
10.0 ECTS-Credits: Analysis 3 (Ordinary Differential Equation an Function Theory)
5.0 ECTS-Credits: Statistics
7.5 ECTS-Credits: Numerical Mathematics 1

Fourth Semester »

7.5 ECTS-Credits: Analysis 4
7.5 ECTS-Credits: Discrete Mathematics
7.5 ECTS-Credits: Numerical Mathematics 2
7.5 ECTS-Credits: Algebra 2

Fifth Semester »

7.5 ECTS-Credits: Partial Differential Equations
7.5 ECTS-Credits: Geometry
7.5 ECTS-Credits: Stochastics 2
5.0 ECTS-Credits: Subdisciplines of Mathematics
2.5 ECTS-Credits: Auxilary skills

Sixth Semester »

7.5 ECTS-Credits: Modelling
7.5 ECTS-Credits: Optimisation
7.5 ECTS-Credits: Seminar with Bachelor’s Thesis
7.5 ECTS-Credits: Auxilary skills

Graphic chart »

BA Mathematik_en

Qualification Profile and Skills

The Bachelor’s Programme Technical Mathematics prepares graduates for occupational opportunities as mathematicians in industry and economy, and for the Master’s Programme Technical Mathematics. Graduates are able to recognize mathematical issues in natural science, engineering, economy and medicine, to analyse and mathematically model and solve them using a computer.

The programme conveys:

basic knowledge of algebra, analysis, discrete mathematics, geometry, numerical mathematics, probability theorey and statistics,
in-depth knowledge of applied branches in these subjects,
training of creative, analytical and sound reasoning,
the ability to independently develop mathematical knowledge,
knowledge of the efficient use of mathematical software,
the ability to work in a team as well as to present and document results.

Expected Learning Outcomes

Graduates are able to elaborate, evaluate and implement scientific developments in the core fields of mathematics (algebra, analysis, discrete mathematics, geometry, numerical mathematics, probability theorey and statistics) and to apply them in interdisciplinary contexts. They possess multidisciplinary skills, such as the ability to work in a team, and to clearly present and document results.

Future Prospects: Occupational Profiles and Career Opportunities

The career fields range from high-tech industry, telecommunications and information technology to logistics, banks, insurances and statistical offices. For the access to highly qualified activities in these areas, completion of the Master’s Programme Technical Mathematics is recommended. Occupational profiles of graduates of the bachelor’s programme can be found in fields where problem-solving capacities and specially trained analytical and systematic thinking are required (e.g. management, administration or consulting companies).

Postgraduate and further Studies at the University of Innsbruck

Supplementary Programme

Within the scope of the Study Programme, a Supplementary Programme corresponding to 60 ECTS-Credits may be passed. Admission to the Supplementary Programme requires the admission to or the having passed of one of the selected Study Programmes. Detailed information:

Information about examination regulations, assessment and grading

Examination regulations

The examination regulation is an integral part of the curriculum, detailed information can be found under the paragraph examination regulations.

Description of the applied grading system (including the grade distribution table) »

The grade distribution table is a statistical representation of the distribution of all successfully completed examinations in a given programme of study or subject (based on all registered students for the programme or subject). The grade distribution table is updated in regular intervals.

Austrian grading scheme	Definition	%-age
1	EXCELLENT: Outstanding performance	34.4	= 100%
2	GOOD: Generally good, but with some errors	25.7
3	SATISFACTORY: Generally sound work with a number of substantial errors	23.2
4	SUFFICIENT: Performance meets the minimum criteria	16.7
5	INSUFFICIENT: Substantial improvement necessary; requirement of further work

December 2021

Overall classification of the qualification

Not applicable
Explanation: An overall classification (mit Auszeichnung bestanden/pass with distinction, bestanden/pass, nicht bestanden/fail) – is awarded only for examinations that conclude a programme of study and consist of more than one subject (an examination of this type is not specified in the curriculum of this programme of study).